A248790 Numbers n with the property that p = n^2 - 11 and q = n^2 + 11 are consecutive primes.

510, 720, 1200, 2190, 4350, 4980, 5040, 5250, 5670, 6810, 8280, 8490, 9150, 10140, 10650, 11430, 12510, 13800, 13980, 14160, 14640, 14700, 14820, 15000, 15750, 16890, 17220, 18180, 18270, 18750, 19110, 20940, 21270, 22050, 24000, 24570, 24720, 24990, 25620, 25920, 26520

Offset: 1

Author

Zak Seidov, Oct 14 2014

Keywords

• nonn

Comments

All terms are == 0 (mod 30).

Examples

			n=510, p=260089=prime(22845), q=260111=prime(22846).
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..1000

Crossrefs

Subsequence of A176683 and of A075190. E.g., a(1)=510=A075190(62)=A176683(6).

Cf. A248785.

Programs

Mathematica

Select[Range[30000],With[{c=#^2-11},PrimeQ[c]&&NextPrime[c]==c+22&]] (* Harvey P. Dale, Apr 03 2025 *)

PARI

isok(n) = isprime(p=n^2-11) && isprime(q=n^2+11) && (q==nextprime(p+1)); \\ Michel Marcus, Oct 14 2014